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Finding the Fourth Proportional to 42,710.32, 64,009.76 and 30,903.88

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Solution

The fourth proportional to 42,710.32, 64,009.76 and 30,903.88 is: 46,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,710.32 : 64,009.76 = 30,903.88 : x
  2. Step 2: Convert to fraction form
    42,710.32/64,009.76 = 30,903.88/x
  3. Step 3: Cross multiply
    42,710.32x = 64,009.76 × 30,903.88
  4. Step 4: Simplify right side
    42,710.32x = 1,978,149,941.87
  5. Step 5: Solve for x
    x = 1,978,149,941.87/42,710.32
  6. Step 6: Final answer
    x = 46,315.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.